Absolute value is a mathematical concept that represents the distance of a number from zero on the number line. It is denoted by two vertical bars, |x|, where x is the number. For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3.

In equations, absolute value can be used to represent a range of values that a variable can take. For example, the equation |x| = 3 means that x can be either 3 or -3. This is because the absolute value of both 3 and -3 is 3.

Absolute value can also be used to graph functions. The graph of a function with absolute value is a V-shaped curve. The vertex of the curve is at the origin, and the two branches of the curve slope upward away from the origin.

Here is an example of how absolute value works in an equation and a graph.

Equation:

```

|x| = 3

```

Graph:

[Image of a V-shaped curve with the vertex at the origin and the two branches of the curve sloping upward away from the origin]

The equation |x| = 3 represents the range of values that x can take, which are 3 and -3. The graph of the function is a V-shaped curve, with the vertex at the origin and the two branches of the curve sloping upward away from the origin.

Absolute value is a useful mathematical concept that can be used to represent a range of values and to graph functions.